Given numbers are 966,686,829,388,924

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 966,686,829,388,924 is 83737916724.

Find LCM of 966,686,829,388,924 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 3 x 7 x 23 x 49 x 829 x 97 x 11 = 83737916724

Therefore, the lowest common multiple of 966,686,829,388,924 is 83737916724.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

966 x 686 x 829 x 388 x 924 = 196951580134848

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

686 : 1, 2, 7, 14, 49, 98, 343, 686

829 : 1, 829

388 : 1, 2, 4, 97, 194, 388

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,686,829,388,924, is 1.

Now, the common factors can be found like this.

966:2x 3x 7x 23

686:2x 7x 7x 7

829:829

388:2x 2x 97

924:2x 2x 3x 7x 11

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 3x 7x 7 = 2352

Therefore, the value for common factors is 2352.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 196951580134848/(1x2352)

LCM = 196951580134848/2352

LCM = 83737916724

Thus, we can understand that the LCM of 966,686,829,388,924 is 83737916724.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 459, 921, 439, 597, 970
• LCM of 517, 844, 148, 498, 405
• LCM of 217, 724, 613, 942, 979
• LCM of 614, 782, 822, 323, 139
• LCM of 749, 428, 149, 278, 186

1. What is the LCM of 966, 686, 829, 388, 924?

Answer: LCM of 966, 686, 829, 388, 924 is 83737916724.

2. How to calculate the LCM of 966, 686, 829, 388, 924?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 966, 686, 829, 388, 924.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.